At SpaceX, level 1 engineers make a salary of $56,000 a year and level 2 engineers get a yearly salary of $68,000. They have 8 total engineers, all which are level 1. They are looking to promote some of them to level 2. However, next year they’ll only be able to afford $472,000 in engineer salaries.
Write a system of equations befitting this problem where a is the number of level 1 engineers and b is the number of level 2 engineers.